Provided Data: Mass \( m = 10 \, \text{kg} \), Height \( h = 5 \, \text{m} \), Gravitational acceleration \( g = 10 \, \text{m/s}^2 \)
Calculation of Gravitational Potential Energy:
The formula for gravitational potential energy is \( U = mgh \).
Substituting the given values: \( U = (10 \, \text{kg})(10 \, \text{m/s}^2)(5 \, \text{m}) \)
This results in: \( U = 500 \, \text{J} \)
Conclusion: The calculated gravitational potential energy is 500 J, corresponding to option (b).